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Finding the Third Proportional to 12,698 and 29,675

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Solution

The third proportional to 12,698 and 29,675 is: 69,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698 : 29,675 = 29,675 : x
  2. Step 2: Convert to fraction form
    12,698/29,675 = 29,675/x
  3. Step 3: Cross multiply
    12,698x = 29,675 × 29,675
  4. Step 4: Simplify right side
    12,698x = 880,605,625
  5. Step 5: Solve for x
    x = 880,605,625/12,698
  6. Step 6: Final answer
    x = 69,349.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.